Fundamental Theorems of Doi–Hopf Modules in a Nonassociative Setting
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0624-y
Abstract: In this paper, we introduce the notion of weak nonassociative Doi–Hopf module and give the Fundamental Theorem of Hopf modules in this setting. Also, we prove that there exists a categorical equivalence that admits as… read more here.
Keywords: theorems doi; hopf modules; hopf; modules nonassociative ... See more keywords
Splitting Extensions of Nonassociative Algebras and Modules with Metagroup Relations
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030131
Abstract: A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions are scrutinized.… read more here.
Keywords: modules nonassociative; algebras modules; extensions nonassociative; modules metagroup ... See more keywords
Nonassociative Algebras, Rings and Modules over Them
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11071714
Abstract: The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with… read more here.
Keywords: modules nonassociative; rings modules; algebras modules; algebras rings ... See more keywords